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23213213100 = 2232527111312557
BaseRepresentation
bin10101100111100111…
…011000010110101100
32012220202202101222100
4111213213120112230
5340020040304400
614355231415100
71451150025060
oct254747302654
965822671870
1023213213100
119932287640
1245ba084490
13225c2c166c
1411a2d4daa0
1590cdc9100
hex5679d85ac

23213213100 has 432 divisors, whose sum is σ = 91442647296. Its totient is φ = 4784832000.

The previous prime is 23213213047. The next prime is 23213213113. The reversal of 23213213100 is 131231232.

23213213100 is a `hidden beast` number, since 2 + 32 + 1 + 321 + 310 + 0 = 666.

It is a super-2 number, since 2×232132131002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9077022 + ... + 9079578.

Almost surely, 223213213100 is an apocalyptic number.

23213213100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23213213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45721323648).

23213213100 is an abundant number, since it is smaller than the sum of its proper divisors (68229434196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23213213100 is a wasteful number, since it uses less digits than its factorization.

23213213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23213213100 its reverse (131231232), we get a palindrome (23344444332).

The spelling of 23213213100 in words is "twenty-three billion, two hundred thirteen million, two hundred thirteen thousand, one hundred".